331122686400 has 1008 divisors, whose sum is σ = 1343415265920. Its totient is φ = 79551590400.

The previous prime is 331122686387. The next prime is 331122686449. The reversal of 331122686400 is 4686221133.

331122686400 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 2 + 2 + 6 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 594474922 + ... + 594475478.

It is an arithmetic number, because the mean of its divisors is an integer number (1332753240).

Almost surely, 2^331122686400 is an apocalyptic number.

331122686400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331122686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671707632960).

331122686400 is an abundant number, since it is smaller than the sum of its proper divisors (1012292579520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331122686400 is a wasteful number, since it uses less digits than its factorization.

331122686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 331122686400 in words is "three hundred thirty-one billion, one hundred twenty-two million, six hundred eighty-six thousand, four hundred".